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Finding the Fourth Proportional to 596.25, 892.40 and 582.84

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Solution

The fourth proportional to 596.25, 892.40 and 582.84 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 892.40 = 582.84 : x
  2. Step 2: Convert to fraction form
    596.25/892.40 = 582.84/x
  3. Step 3: Cross multiply
    596.25x = 892.40 × 582.84
  4. Step 4: Simplify right side
    596.25x = 520,123.50
  5. Step 5: Solve for x
    x = 520,123.50/596.25
  6. Step 6: Final answer
    x = 872.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.